46,986

2 × 3 × 41 × 191

46,986 has digital root 6. The neighboring primes are 46957 and 46993; its proper-divisor sum differs from the starting integer by 2,796.

Prime Factor Structure

Factorization String 2 × 3 × 41 × 191

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 96,768

Proper Divisor Sum 49,782

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #46957 ← → #46993

Radix Representation

Decimal	46986
Binary	1011011110001010 (16 bits)
Octal	0o133612
Hexadecimal	0xB78A

Divisor Catalog (16)

1 2 3 6 41 82 123 191 246 382 573 1,146 7,831 15,662 23,493 46,986

Collatz Trajectory (101 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

46,986 23,493 70,480 35,240 17,620 8,810 4,405 13,216 6,608 3,304 1,652 826 413 1,240 620 310 155 466 233 700 350 175 526 263 790 395 1,186 593 1,780 890 445 1,336 668 334 167 502 251 754 377 1,132 566 283 850 425 1,276 638 319 958 479 1,438 719 2,158 1,079 3,238 1,619 4,858 2,429 7,288 3,644 1,822

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